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y=coshx*arcsinhx
Derivada de la función/ coshx/ sinhx/ y=cos/ arcsin/ y=coshx*arcsinhx

Derivada de y=coshx*arcsinhx

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Ha introducido [src] 
cosh(x)*asinh(x)
cosh⁡(x)asinh⁡(x)\cosh{\left(x \right)} \operatorname{asinh}{\left(x \right)} 
cosh(x)*asinh(x)
Gráfica
02468-8-6-4-2-1010-5000050000
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
  cosh(x)                     
----------- + asinh(x)*sinh(x)
   ________                   
  /      2                    
\/  1 + x
sinh⁡(x)asinh⁡(x)+cosh⁡(x)x2+1\sinh{\left(x \right)} \operatorname{asinh}{\left(x \right)} + \frac{\cosh{\left(x \right)}}{\sqrt{x^{2} + 1}}
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Segunda derivada [src] 
                    2*sinh(x)     x*cosh(x) 
asinh(x)*cosh(x) + ----------- - -----------
                      ________           3/2
                     /      2    /     2\   
                   \/  1 + x     \1 + x /
−xcosh⁡(x)(x2+1)32+cosh⁡(x)asinh⁡(x)+2sinh⁡(x)x2+1- \frac{x \cosh{\left(x \right)}}{\left(x^{2} + 1\right)^{\frac{3}{2}}} + \cosh{\left(x \right)} \operatorname{asinh}{\left(x \right)} + \frac{2 \sinh{\left(x \right)}}{\sqrt{x^{2} + 1}}
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Tercera derivada [src] 
                                 /         2 \                      
                                 |      3*x  |                      
                                 |-1 + ------|*cosh(x)              
                                 |          2|                      
                    3*cosh(x)    \     1 + x /           3*x*sinh(x)
asinh(x)*sinh(x) + ----------- + --------------------- - -----------
                      ________                3/2                3/2
                     /      2         /     2\           /     2\   
                   \/  1 + x          \1 + x /           \1 + x /
−3xsinh⁡(x)(x2+1)32+sinh⁡(x)asinh⁡(x)+3cosh⁡(x)x2+1+(3x2x2+1−1)cosh⁡(x)(x2+1)32- \frac{3 x \sinh{\left(x \right)}}{\left(x^{2} + 1\right)^{\frac{3}{2}}} + \sinh{\left(x \right)} \operatorname{asinh}{\left(x \right)} + \frac{3 \cosh{\left(x \right)}}{\sqrt{x^{2} + 1}} + \frac{\left(\frac{3 x^{2}}{x^{2} + 1} - 1\right) \cosh{\left(x \right)}}{\left(x^{2} + 1\right)^{\frac{3}{2}}}
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Gráfico
Derivada de y=coshx*arcsinhx
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